Consider some perpendicular unit vectors vi, v2, .. , Vm in R". Show that these vectors are necessarily linearly independent. Hint: Form the dot product of vi and both sides of the equation CU1 + C2 U2 +.. + C;V; +.. + Cm Um

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider some perpendicular unit vectors vi, V2,
.., Vm in R". Show that these vectors are necessarily linearly
->
independent. Hint: Form the dot product of v; and both sides of the equation
->
Cv1 + C2 V2+.. + Cv; +.. + Cm Um
.3.
Transcribed Image Text:Consider some perpendicular unit vectors vi, V2, .., Vm in R". Show that these vectors are necessarily linearly -> independent. Hint: Form the dot product of v; and both sides of the equation -> Cv1 + C2 V2+.. + Cv; +.. + Cm Um .3.
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